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Finding the Fourth Proportional to 150,750.77, 226,158.98 and 45,567

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Solution

The fourth proportional to 150,750.77, 226,158.98 and 45,567 is: 68,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,750.77 : 226,158.98 = 45,567 : x
  2. Step 2: Convert to fraction form
    150,750.77/226,158.98 = 45,567/x
  3. Step 3: Cross multiply
    150,750.77x = 226,158.98 × 45,567
  4. Step 4: Simplify right side
    150,750.77x = 10,305,386,013.83
  5. Step 5: Solve for x
    x = 10,305,386,013.83/150,750.77
  6. Step 6: Final answer
    x = 68,360.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.